SOLUTION: a farmer owns a farm with chickens and pigs. the farmer counted 17 heads and 60 legs. how many chickens and pigs are there? use systems of equations to solve this probelm al

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Question 706519:
a farmer owns a farm with chickens and pigs. the farmer counted 17 heads and 60 legs. how many chickens and pigs are there?
use systems of equations to solve this probelm algebrically
Found 3 solutions by stanbon, checkley79, lynnlo:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website!
): a farmer owns a farm with chickens and pigs. the farmer counted 17 heads and 60 legs. how many chickens and pigs are there?
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# of legs equation: 2c+4p = 60
# of heads equation: c + p = 17
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Modify:
c + 2p = 30
c + p = 17
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Subtract and solve for "p":
p = 13 (# of pigs)
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Solve for "c":
c + p = 17
c + 13 = 17
c = 4 (# of chickens)
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Cheers,
Stan H.
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Answer by checkley79(3341)   (Show Source):
You can put this solution on YOUR website!
C+P=16
C=16-P
2C+4P=60
2(16-P)+4P=60
32-2P+4P=60
2P=60-32
2P=28
P=28/2
P=14 NUMBER OF PIGS.
C=16-14=2 CHICKENS.
PROOF:
2*2+4*14=60
4+56=60
60=60

Answer by lynnlo(4176)   (Show Source):
You can put this solution on YOUR website!
17 heads =c+p
60 legs =c+p
13p+4 legs========52
4c +2 legs========8
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17 c+p===========60
there are 13 pigs and 4 chickens